OFFSET
1,1
COMMENTS
All such primes are by necessity of the form 4m+3 (in A002145). See A369249 for those 4m+3 primes that do not have such a representation.
Also by necessity, in these cases the primes in the sum (p*q + p*r + q*r) must all be distinct, that is, we actually need p < q < r, otherwise the sum would not be a prime.
LINKS
Antti Karttunen, Table of n, a(n) for n = 1..20000
Antti Karttunen, Primes with such a representation vs. 4m+3 primes without such a representation (Plot2 comparison of the densities)
EXAMPLE
71 is present as 71 = (3*5) + (3*7) + (5*7) = A003415(105).
CROSSREFS
KEYWORD
nonn
AUTHOR
Antti Karttunen, Jan 22 2024
STATUS
approved